Induced representations of locally compact groups
著者
書誌事項
Induced representations of locally compact groups
（Cambridge tracts in mathematics, 197）
Cambridge University Press, 2013
- : hbk
大学図書館所蔵 件 / 全32件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 333-339) and index
内容説明・目次
内容説明
The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual spaces for important classes of groups. It introduces various induction constructions and proves the core theorems on induced representations, including the fundamental imprimitivity theorem of Mackey and Blattner. An extensive introduction to Mackey analysis is applied to compute dual spaces for a wide variety of examples. Fell's contributions to understanding the natural topology on the dual are also presented. In the final two chapters, the theory is applied in a variety of settings including topological Frobenius properties and continuous wavelet transforms. This book will be useful to graduate students seeking to enter the area as well as experts who need the theory of unitary group representations in their research.
目次
- 1. Basics
- 2. Induced representations
- 3. The imprimitivity theorem
- 4. Mackey analysis
- 5. Topologies on dual spaces
- 6. Topological Frobenius properties
- 7. Further applications
- References
- Index.
「Nielsen BookData」 より